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Euclidean Jordan algebras and some conditions over the spectra of a strongly regular graph

Title
Euclidean Jordan algebras and some conditions over the spectra of a strongly regular graph
Type
Article in International Scientific Journal
Year
2019-07-02
Authors
Luís Almeida Vieira
(Author)
FEUP
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Journal
The Journal is awaiting validation by the Administrative Services.
Vol. 2
Pages: 1-19
Indexing
Crossref
Scientific classification
CORDIS: Physical sciences > Mathematics
FOS: Natural sciences > Mathematics
Other information
Resumo (PT):
Abstract (EN): Let G be a primitive strongly regular graph G such that the regularity is less than half of the order of G and A its matrix of adjacency, and let A be the real Euclidean Jordan algebra of real symmetric matrices of order n spanned by the identity matrix of order n and the natural powers of A with the usual Jordan product of two symmetric matrices of order n and with the inner product of two matrices being the trace of their Jordan product. Next the spectra of two Hadamard series of A associated to A2 is analysed to establish some conditions over the spectra and over the parameters of G.
Language: English
Type (Professor's evaluation): Scientific
Notes: https://www.4open-sciences.org/articles/fopen/full_html/2019/01/fopen190010/fopen190010.html https://www.researchgate.net/publication/334191434_Euclidean_Jordan_algebras_and_some_conditions_over_the_spectra_of_a_strongly_regular_graph/fulltext/5d1c42ed92851cf440602efe/Euclidean-Jordan-algebras-and-some-conditions-over-the-spectra-of-a-strongly-regular-graph.pdf
No. of pages: 19
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